Hausdorff measure of the singular set of quasiregular maps on Carnot groups [PDF]
, 2003 Irina Markina
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A remark on quasiconformal mappings on Carnot groups. [PDF]
Michigan Mathematical Journal, 1994 A. Koranyi and M. Reimann informed me that a result of theirs on the theory of quasiconformal mappings on the Heisenberg groups contradicted inequality (20.17) in my monograph [Strong rigidity of locally symmetric spaces, Ann. Math. Studies, No.
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Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
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Équations différentielles stochastiques conduites par des lacets dans les groupes de Carnot [PDF]
, 2004 Fabrice Baudoin
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Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2010 Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
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Optimizing a machine learning design of dielectric properties in lead-free piezoelectric ceramics
Materials & DesignDesigning lead-free piezoelectric ceramics with tailored electrical properties remains a critical challenge for various applications. In this paper we present a novel methodology integrating Machine Learning (ML) and optimization procedures to fine-tune ...
Helder R.O. Rocha +6 more
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The p-Laplace equation in a class of Hormander vector fields
Electronic Journal of Differential Equations, 2019 We find the fundamental solution to the p-Laplace equation in a class of Hormander vector fields that generate neither a Carnot group nor a Grushin-type space. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding
Thomas Bieske, Robert D. Freeman
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Performance of plant-produced RBDs as SARS-CoV-2 diagnostic reagents: a tale of two plant platforms
Frontiers in Plant ScienceThe COVID-19 pandemic has underscored the need for rapid and cost-effective diagnostic tools. Serological tests, particularly those measuring antibodies targeting the receptor-binding domain (RBD) of the virus, play a pivotal role in tracking infection ...
Mattia Santoni +14 more
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A note on the engulfing property and the $\Gamma ^{1+ \alpha }$-regularity of convex functions in Carnot groups [PDF]
, 2006 Luca Capogna, Diego Maldonado
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c horizontal convexity on Carnot groups
, 2010 Given a real-valued function $c$ defined on the cartesian product of a generic Carnot group $\G$ and the first layer $V_1$ of its Lie algebra, we introduce a notion of $c$ horizontal convex ($c$ H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and depends strictly on the horizontal
CALOGERO, ANDREA GIOVANNI, PINI, RITA
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